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Finding the Fourth Proportional to 9,042.77, 13,546.50 and 6,231.11

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Solution

The fourth proportional to 9,042.77, 13,546.50 and 6,231.11 is: 9,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.77 : 13,546.50 = 6,231.11 : x
  2. Step 2: Convert to fraction form
    9,042.77/13,546.50 = 6,231.11/x
  3. Step 3: Cross multiply
    9,042.77x = 13,546.50 × 6,231.11
  4. Step 4: Simplify right side
    9,042.77x = 84,409,731.62
  5. Step 5: Solve for x
    x = 84,409,731.62/9,042.77
  6. Step 6: Final answer
    x = 9,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.